What’s the answer this is hard
1 answer:
Answer:
Lowest point y = -2, highest point = 6
Step-by-step explanation:
The given function is g(t) = 4sin (3t) + 2
When we plot the function on a graph we use the sine graph y = a sin(bx+c) + d. Here a is amplitude, c is horizontal shift and d is vertical shift.
Therefore in this function d is 2 so sine graph is vertically shifted of we can say y = 2 is the center line
Here in the given function amplitude of the sine wave is 4.
The lowest point on the graph will be y = 2-4 = -2
The highest point of the graph will be y = 2+4 = 6
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The function f(x) is vertically compressed to form g(x) while the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)
<h3>How to compare both functions?</h3>The functions are given as
f(x) =x^2
g(x) =3x^2
h(x) = -3x^2
Substitute f(x) =x^2 in g(x) =3x^2 and h(x) = -3x^2
g(x) =3f(x)
h(x) = -3f(x)
This means that the function f(x) is vertically compressed to form g(x)
Also, the function f(x) is vertically compressed and then reflected across the x-axis to form h(x)
See attachment for the functions g(x) and h(x)
Also, functions f(x) and g(x) have the same domain and range
While functions f(x) and h(x) have the same domain but different range
The complete table is:
x -2 -1 0 1 2
g(x) 12 3 0 3 12
h(x) -12 -3 0 -3 -12
Read more about function transformation at:
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